{
  "id": "0908.2364",
  "version": "v1",
  "published": "2009-08-17T14:42:09.000Z",
  "updated": "2009-08-17T14:42:09.000Z",
  "title": "The g-periodic subvarieties for an automorphism g of positive entropy on a compact Kahler manifold",
  "authors": [
    "De-Qi Zhang"
  ],
  "comment": "Advances in Mathematics (to appear), 11 pages",
  "categories": [
    "math.AG",
    "math.DS"
  ],
  "abstract": "For a compact Kahler manifold X and a strongly primitive automorphism g of positive entropy, it is shown that X has at most rank NS(X) of g-periodic prime divisors B_i (i.e., g^s(B_i) = B_i for some s > 0). When X is a projective threefold, every prime divisor containing infinitely many g-periodic curves, is shown to be g-periodic itself (a result in the spirit of the Dynamic Manin-Mumford conjecture).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-17T14:42:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J50",
      "37C25",
      "32H50"
    ],
    "keywords": [
      "compact kahler manifold",
      "positive entropy",
      "g-periodic subvarieties",
      "automorphism",
      "dynamic manin-mumford conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.2364Z"
    }
  }
}